The relationship between rational numbers and whole numbers is that all whole numbers can be classified as rational numbers, but not all rational numbers can be classified as whole numbers.
Rational numbers are numbers that can be written as a fraction p/q where p and q are integers and q is not equal to zero. Whole numbers are non-negative numbers that do not have any decimal or fractional parts.
All whole numbers can be written as a fraction with a denominator of 1. For example, the whole number 3 can be written as 3/1, which is a rational number.
However, not all rational numbers can be classified as whole numbers. For example, the rational number 1/2 is not a whole number since it has a fractional part. Similarly, the rational number -3/4 is also not a whole number because it is negative.
In summary, the relationship between rational numbers and whole numbers is that all whole numbers are rational numbers, but not all rational numbers are whole numbers.
Describe the relationship between rational numbers and whole numbers. Are all rational numbers also whole numbers? Are all whole numbers also rational numbers? Give examples to support your answer. (4 points)
3 answers
Please makes sure your answer is coming from Connexus Academy Grade 8 PRE-ALG
I apologize for the confusion. In the context of Connexus Academy Grade 8 Pre-Algebra, the statement "all whole numbers are rational numbers" is correct.
In mathematics, rational numbers are defined as numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Whole numbers are non-negative integers, including zero.
Since whole numbers can be expressed as a fraction with a denominator of 1 (e.g., 3 can be written as 3/1), they can be considered as rational numbers.
For example, the whole number 5 can be written as 5/1, which is a fraction with integers as numerator and denominator.
In summary, all whole numbers are rational numbers according to the definition in Connexus Academy Grade 8 Pre-Algebra.
In mathematics, rational numbers are defined as numbers that can be expressed as a ratio of two integers, where the denominator is not zero. Whole numbers are non-negative integers, including zero.
Since whole numbers can be expressed as a fraction with a denominator of 1 (e.g., 3 can be written as 3/1), they can be considered as rational numbers.
For example, the whole number 5 can be written as 5/1, which is a fraction with integers as numerator and denominator.
In summary, all whole numbers are rational numbers according to the definition in Connexus Academy Grade 8 Pre-Algebra.